Which numeration system is also known as 10 base numeration system​

decimal system

Let z = f(x, y) where f(x, y) =0 then the implicit function is

Example:-

Step-by-step explanation:

Partial differentiation:-

Let Z = f(x ,y) be a function of two variables x and y. Then

   Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

Let Z = f(x ,y) be a function of two variables x and y. Then

   Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

Implicit function:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

The total differential co-efficient

d z = δ z/δ x +   δ z/δ y

Implicit differentiation process

differentiate both sides of the equation with respective to 'x' move all d y/dx terms to the left side, and all other terms to the right side factor out d y / dx from the left sideSolve for d y/dx , by dividing

Example :  

solution:-

differentiate both sides of the equation with respective to 'x'

move all d y/dx terms to the left side, and all other terms to the right side

Taking common d y/dx